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... If the first Kirchhoff law holds, that is, x∗v = 0 for all V \ {a, b}, then x∗a + x∗b = 0, all equations are satisfied, and we stop. Yet otherwise, we obviously can proceed with the potential reduction. Thus, the limit values of x solve (G, a, b) for xa = x0a and xb = x0b .  Remark 1 A very similar mo ...
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< 1 ... 16 17 18 19 20 21 22 23 24 ... 194 >

Lumped element model



The lumped element model (also called lumped parameter model, or lumped component model) simplifies the description of the behaviour of spatially distributed physical systems into a topology consisting of discrete entities that approximate the behaviour of the distributed system under certain assumptions. It is useful in electrical systems (including electronics), mechanical multibody systems, heat transfer, acoustics, etc.Mathematically speaking, the simplification reduces the state space of the system to a finite dimension, and the partial differential equations (PDEs) of the continuous (infinite-dimensional) time and space model of the physical system into ordinary differential equations (ODEs) with a finite number of parameters.
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